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Title Name Amity Solved Assignment BSC for Computer Oriented Numerical Analysis
University AMITY
Service Type Assignment
Course B.Sc-(IT)
Semester Semester-II Course: B.Sc-(IT)
Short Name or Subject Code Computer Oriented Numerical Analysis
Commerce line item Type Semester-II Course: B.Sc-(IT)
Product Assignment of B.Sc-(IT) Semester-II (AMITY)
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Questions:-


                                                                                                                                                      SUBJECT:  COMPUTER ORIENTED NUMERICAL ANALYSIS

  

ASSIGN MENT-A

(Any three)

1.Solve the following set of equation by Gauss elimination method.

               2x +3y+4z=12

               3x + y +z=4

               x+4y+z=5                               

  1. Find the rate of convergence of Newton Raphson method. Solve by www.solvezone.in
  1. Define error, relative error and absolute error, give example of each.

 

 

 

 

ASSIGNMENT-B

  1. a) Round off and truncate the following numbers to the four decimal places.
  1. b) Find the route of equation 2x² -5x-1=0 by using bisection method. Perform 5 steps.

 

  1. Solve the following equation by Jacobi method. Perform three steps.

 xâ‚-2xâ‚‚-x₃-xâ‚„=3

-2x₠+ x₂-x₃ -x₄=15

xâ‚ – xâ‚‚ + x₃ -2xâ‚„ =27

-x₠-x₂-2x₃+x₄ =-9

 

 

  1. For a given data

X

F(x)

1

33

2

50

3

69

4

90

5

129

 

Find the value of f(x) at 1.4

  1. Choose 4 card at random from standard 52 card deck. What is the probability that two kings and two ace will be chosen.

 

 

 

 

ASSIGNMENT C

Question No: 1

Round off the number 0.859378 to four significant digits.

  1. 8594
  2. 8593
  3. 8593
  4. 593

 

Question No: 2

Truncate the number 0.859378 to four significant digits.

  1. 8594
  2. 8593
  3. 8593
  4. None

 

 

Question No: 3

The formula for Regula Falsi method is

 

 

Question No: 4

  1. 234
  2. 666
  3. 9823
  4. None of the above

 

 

Question No: 5

  1. x0=1, x1=2
  2. x0=0, x1=1
  3. x0=0, x1=-1
  4. x0=-1, x1=-2

 

 

Question No: 6

  1. 3568
  2. 995
  3. 09
  4. 135

 

 

Question No: 7

  1. .479
  2. .3854
  3. .4053
  4. .793

 

 

Question No: 8

Which method has the fastest convergence?

  1. Bisection method
  2. Newton Raphson Method
  3. Regula Falsi Method
  4. Iterative Method

 

 

Question No: 9

In Bisection method the initial approximation x0 and x1 are chosen such that

  1. f(x0).f(x1)<0
  2. f(x0).f(x1)>0
  3. f(x0).f(x1)=0
  4. f(x0)-f(x1) is negative.

 

 

Question No: 10

  1. d) None

 

 

Question No: 11

  1. Transcendental equation
  2. Algebraic Equation
  3. Polynomial Equation
  4. None of the above

 

 

Question No: 12

  1. d) None of these

 

 

Question No: 13

Which one is true?

 

 

Question No: 14

If ei+1/eip = 1 then rate of convergence is said to be

  1. Linear
  2. Quadratic
  3. p
  4. None

 

 

Question No: 15

Rate of convergence of Newton Raphson method is

  1. 1
  2. 2
  3. 3
  4. Can’t be determined

 

 

Question No: 16

Inverse of inverse of a matrix A is

  1. A-1
  2. 1/A
  3. A
  4. None of these

 

 

Question No: 17

For Matrix A and B of same order, AB=BA

  1. True
  2. FALSE
  3. Can’t be determined
  4. None of these

 

 

Question No: 18

Which one is an integration method?

  1. Trapezoidal Method
  2. Newton Raphson Method
  3. Jacobi Method
  4. None

 

 

Question No: 19

Which one is not an interpolation method?

  1. Lagrange’s Method
  2. Newton Forward Method
  3. Newton Divided Difference Formula
  4. Bisection Method

 

 

Question No: 20

Round off the number 0.259378 to four significant digits.

  1. 2594
  2. 2593
  3. 2594
  4. None

 

 

Question No: 21

Truncate the number 0.159378 to four significant digits.

  1. 1594
  2. 1593
  3. 1593
  4. 594

 

 

Question No: 22

Which one is true?

  1. y1=y0-h
  2. y1=y0/h
  3. y1=y0+h
  4. None

 

 

Question No: 23

The formula for Bisection method is

  1. x2=(x0+x1)/2
  2. x2=(x0-x1)/2
  3. x2= x2=(x0*x1)/2
  4. None

 

 

Question No: 24

Cramer’s rule fails for

  1. Δ = 2
  2. Δ = 1
  3. Δ =0
  4. None

 

 

Question No: 25

To solve a set of linear algebraic equations, the method is:

  1. Gauss Jordan
  2. Jacobi
  3. Gauss Elimination
  4. None

 

 

Question No: 26

  1. (1,6)
  2. (2,3)
  3. (2,2)
  4. None

 

 

Question No: 27

Equation of line is:

  1. y=c
  2. y=ax2+c
  3. y=ax+c
  4. None

 

 

Question No: 28

Δ² yâ‚’ is

  1. y2-2y1+y0
  2. y2+2y1+y0
  3. y2+y1+y0
  4. None

 

 

Question No: 29

Runga Kutta method is used for

  1. Differentiation
  2. Integration
  3. Differential Equation
  4. None of these

 

 

Question No: 30

Trapezoida formula is

  1. h/2[yâ‚’+yn+2(y1+y2+….+yn)]
  2. [yâ‚’+yn+2(y1+y2+….+yn)]
  3. 3h/8[yâ‚’+yn+2(y1+y2+….+yn)]
  4. None of these

 

 

Question No: 31

For Simpson’s 3/8 rule, the value of n is

  1. 1
  2. 2
  3. 3
  4. 4

 

 

Question No: 32

Accuracy of Simpson’s method is better than Trapezoidal method.

  1. True
  2. False
  3. Can’t say
  4. ,

 

 

Question No: 33

Divided Difference formula can also be used for equi-distant points:

  1. True
  2. False
  3. Can’t say
  4. ,

 

 

Question No: 34

(1+Δ)(1+?)=

  1. 1
  2. 0
  3. Δ
  4. None

 

 

Question No: 35

  1. 3
  2. 3
  3. 9
  4. None of these

 

 

Question No: 36

 In Question 34, what is the value of F’(x) at x=0

  1. 1
  2. 2
  3. 3
  4. None of these

 

 

Question No: 37

For getting the solution of non-linear equation, which method uses the tangent

  1. Bisection
  2. Iterative
  3. Newton Raphson
  4. Regula Falsi

 

 

Question No: 38

Jordan method is a refinement over Gausee’s method

  1. True
  2. False
  3. Can’t say
  4. ,

 

 

Question No: 39

Numerical Solutions always give accurate solution

  1. True
  2. False
  3. ,
  4. ,

 

 

Question No: 40

What will be the relative error if 2/3 is approximated to 0.667?

  1. 0005
  2. 0006None
  3. 005
  4. None

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January 29, 2015
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Assignment from solve zone is probably one of the first preference of students.